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Simplifying 0.2(4x + 32) = 0.8(x + 8) Reorder the terms: 0.2(32 + 4x) = 0.8(x + 8) (32 * 0.2 + 4x * 0.2) = 0.8(x + 8) (6.4 + 0.8x) = 0.8(x + 8) Reorder the terms: 6.4 + 0.8x = 0.8(8 + x) 6.4 + 0.8x = (8 * 0.8 + x * 0.8) 6.4 + 0.8x = (6.4 + 0.8x) Add '-6.4' to each side of the equation. 6.4 + -6.4 + 0.8x = 6.4 + -6.4 + 0.8x Combine like terms: 6.4 + -6.4 = 0.0 0.0 + 0.8x = 6.4 + -6.4 + 0.8x 0.8x = 6.4 + -6.4 + 0.8x Combine like terms: 6.4 + -6.4 = 0.0 0.8x = 0.0 + 0.8x 0.8x = 0.8x Add '-0.8x' to each side of the equation. 0.8x + -0.8x = 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 0.0 = 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 0.0 = 0.0 Solving 0.0 = 0.0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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